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Asymptotic behavior of
solutions of parabolic equations of higher order
Lu-san Chen |
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Vol. 19 (1966), No. 3, 407–410
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Abstract |
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It is known that the solution u of the heat equation ∂u∕∂t = Δu under the boundary condition u = 0 decays as e−λtu for some λ > 0 as t →∞. This gives us information about the asymptotic behavior of the solution u in time. There arises the question whether such a theorem is valid for parabolic differential equations with variable coefficients. In this note we shall treat this problem and prove that the theorem analogous to the above holds for parabolic differential inequalities of higher order under some additional restrictions. |
Mathematical Subject Classification
Primary: 35.63
Secondary: 35.16
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Milestones
Received: 14 June 1965
Published: 1 December 1966
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Authors |
| Lu-san Chen | |
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